What is the Least Common Multiple of 31926 and 31946?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 31926 and 31946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31926 and 31946, than apply into the LCM equation.

GCF(31926,31946) = 2
LCM(31926,31946) = ( 31926 × 31946) / 2
LCM(31926,31946) = 1019907996 / 2
LCM(31926,31946) = 509953998

Least Common Multiple (LCM) of 31926 and 31946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31926 and 31946. First we will calculate the prime factors of 31926 and 31946.

Prime Factorization of 31926

Prime Factorization of 31946

Now multiplying the highest exponent prime factors to calculate the LCM of 31926 and 31946.

LCM(31926,31946) = 2¹ × 3¹ × 17¹ × 313¹ × 15973¹
LCM(31926,31946) = 509953998